Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 6, Problem 6.33P

The functions V1 (p, ∅, z) and V2(p, ∅, z) both satisfy Laplace' s equation in the region a < p < b,0 < ∅ < -z,L < z < L; each is zero on the surfaces p = b for—L < Z, z = -L and a < p < b and z=L for a < p < b: and each is 100 V on the surface p=a for - L < z < L. (a) In the region specified; is L aplace' & equation sati s field by the functions V1\ - V2>, V\ - f 7: = V\ + 3 r and V\ V2 ? (b) On the boundary surface s specified; are the potential values given in this problem obtained from the functions V\ + V2: V3, - Vi._ V\ + 3. and V\ V2 ? (c) Are the functions V_ - Vi: Y\ — V2, V\ - 3, and V\ Vj identical with V?

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q)Two potential functions V1 and V2 satisfy Laplace's equation within a closed region and assume the same values on its surface. V1 must equal to V2 ? a)Not necessarily b)True c)None of these d) False
Poisson's and Laplace's Equations Q5) Assume two conducting coes with their vertices on the origin and their axes on the z-axis. The point (2, 0, 4) is on the first cone (50 V) and the point (0, 6, 4) is on the second (10 V) cone, respectively. Find the voltage at (3, 4, 2).
What is the set of all values of z for which X(z) attains a finite value?a) Radius of convergenceb) Radius of divergencec) Feasible solutiond) None of the mentioned

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